1220441204352 has 128 divisors (see below), whose sum is σ = 3250317312000. Its totient is φ = 405745966080.

The previous prime is 1220441204329. The next prime is 1220441204371. The reversal of 1220441204352 is 2534021440221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338351733 + ... + 338355339.

It is an arithmetic number, because the mean of its divisors is an integer number (25393104000).

Almost surely, 2^{1220441204352} is an apocalyptic number.

1220441204352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220441204352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625158656000).

1220441204352 is an abundant number, since it is smaller than the sum of its proper divisors (2029876107648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1220441204352 is a wasteful number, since it uses less digits than its factorization.

1220441204352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 5682 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1220441204352 its reverse (2534021440221), we get a palindrome (3754462644573).

The spelling of 1220441204352 in words is "one trillion, two hundred twenty billion, four hundred forty-one million, two hundred four thousand, three hundred fifty-two".